Atkin-Lehner |
2+ 3+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7638a |
Isogeny class |
Conductor |
7638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
38892696 = 23 · 3 · 192 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-154,-740] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] |
Generators of the group modulo torsion |
j |
408023180713/38892696 |
j-invariant |
L |
2.9107864594526 |
L(r)(E,1)/r! |
Ω |
1.3623908771489 |
Real period |
R |
2.1365281493547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104y2 22914i2 |
Quadratic twists by: -4 -3 |